A263561 Odd numbers n such that for every k >= 1, n*2^k - 1 has a divisor in the set {3, 5, 13, 17, 97, 241, 257}.

42270067, 97579567, 340716433, 721933559, 890948323, 1726122269, 1865978047, 1889699677, 2362339121, 3185721853, 3637126963, 4668508603, 5064217117, 5569622789, 7480754459, 7701804269, 8594194301, 9005098303, 9180863669, 9939496717, 9979211051

Offset

1,1

Comments

What is the smallest term of this sequence that belongs to A076335? Is it the smallest Brier number?

This sequence contains only numbers of the form 30*k + 7, 30*k + 11, 30*k + 13, 30*k + 29.

Links

Arkadiusz Wesolowski, Table of n, a(n) for n = 1..96

Chris Caldwell, The Prime Glossary, Riesel number

Carlos Rivera, Problem 29 and Problem 58

Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1).

Formula

a(n) = a(n-96) + 39832304070 for n > 96.

Crossrefs

Cf. A076335, A263347.

Subsequence of A101036.

A263562 gives the primes.

Sequence in context: A251306 A198168 A218109 * A213737 A254091 A254098

Adjacent sequences: A263558 A263559 A263560 * A263562 A263563 A263564

Keyword

nonn

Author

Arkadiusz Wesolowski, Oct 21 2015

Status

approved